GCD of 10, 609, 763, 631 Calculator

Given Input numbers are 10, 609, 763, 631

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Greatest Common Divisior

We found the divisors of 10, 609, 763, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 609, 763, 631 is 1.

Therefore, GCD of numbers 10, 609, 763, 631 is 1

Given Input Data is 10, 609, 763, 631

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 10 is 2 x 5

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 763 is 7 x 109

Prime Factorization of 631 is 631

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(10, 609) = 6090

GCD(10, 609) = ( 10 x 609 ) / 6090

GCD(10, 609) = 6090 / 6090

GCD(10, 609) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 631

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 631) = 631

GCD(1, 631) = ( 1 x 631 ) / 631

GCD(1, 631) = 631 / 631

GCD(1, 631) = 1

GCD of 10, 609, 763, 631 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 524, 201, 643
• GCD of 62, 108, 799, 981
• GCD of 70, 890, 968, 626
• GCD of 32, 245, 413, 571
• GCD of 22, 886, 531, 579

1. What is the GCD of 10, 609, 763, 631?

GCD of 10, 609, 763, 631 is 1

2. Where do I get the detailed procedure to find GCD of 10, 609, 763, 631?

You can find a detailed procedure to find GCD of 10, 609, 763, 631 on our page.

3. How to find GCD of 10, 609, 763, 631 on a calculator?

You can find the GCD of 10, 609, 763, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.